Solve 1/6*6/9+2/3*1/6

$$\frac { 1 } { 6 } \times \frac { 6 } { 9 } + \frac { 2 } { 3 } \times \frac { 1 } { 6 }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{6}\times \frac{2}{3}+\frac{2}{3}\times \frac{1}{6}$$

Multiply \frac{1}{6} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2}{6\times 3}+\frac{2}{3}\times \frac{1}{6}$$

Do the multiplications in the fraction \frac{1\times 2}{6\times 3}.

$$\frac{2}{18}+\frac{2}{3}\times \frac{1}{6}$$

Reduce the fraction \frac{2}{18} to lowest terms by extracting and canceling out 2.

$$\frac{1}{9}+\frac{2}{3}\times \frac{1}{6}$$

Multiply \frac{2}{3} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{9}+\frac{2\times 1}{3\times 6}$$

Do the multiplications in the fraction \frac{2\times 1}{3\times 6}.

$$\frac{1}{9}+\frac{2}{18}$$

Reduce the fraction \frac{2}{18} to lowest terms by extracting and canceling out 2.

$$\frac{1}{9}+\frac{1}{9}$$

Since \frac{1}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{9}$$

Add 1 and 1 to get 2.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$